The correct answer is option 2: Tanjore. The Chola kings had multiple capitals throughout their empire`s history, but Tanjore (also known as Thanjavur) was one of their most prominent and influential capitals. Tanjore served as the capital during the reign of Rajaraja Chola I and his son Rajendra Chola I, who are considered two of the greatest rulers of the Chola dynasty. The city was a center of art, architecture, and culture during this period, and many magnificent temples and structures were built in Tanjore under the patronage of the Chola kings. The Brihadeeswarar Temple in Tanjore, constructed by Rajaraja Chola I, is a UNESCO World Heritage Site and a testament to the grandeur of the Chola civilization.